It's weaponised incompetence.

Do it so badly on purpose, so they are not asked again. Their partner gets frustrated about it not being done and decides it's easier to just do then to nag about getting it done.

I would not put up with that. I expect 50% of housework to be shared.

When I stayed with my sister she did all the cooking x3. I took care of the cleaning and shopping. It worked for us because I don't cook.